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On the structure of finite groups isospectral to an alternating group
Proceedings of the Steklov Institute of Mathematics, 2011Let~\(G\) be a finite group. The set \(\omega(G)=\{|g|\mid g\in G\}\) is called its spectrum. A finite group~\(H\) is called isospectral to the group~\(G\) if \(\omega(H)=\omega(G)\). Researchers are mostly interested in groups isospectral to finite simple groups. The group \(G\) is called recognizable (by spectrum) if any group isospectral to~\(G\) is
I. Vakula
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The High Faulty Tolerant Capability of the Alternating Group Graphs
IEEE Transactions on Parallel and Distributed Systems, 2023The matroidal connectivity and conditional matroidal connectivity are novel indicators to measure the real faulty tolerability. In this paper, for the $n$n-dimensional alternating group graph $AG_{n}$AGn, the structure properties and (conditional ...
Hui Zhang +4 more
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Non-Inclusive Diagnosability of Alternating Group Graphs
Parallel Processing Letters, 2023The diagnosability is very important in multiple-processor systems. Ding et al. proposed the non-inclusive diagnosability of systems in 2020. Compared to previous diagnosability, non-inclusive diagnosability requires all faulty sets to be non-inclusive ...
Nengjin Zhuo +3 more
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Component Connectivity of Alternating Group Networks and Godan Graphs
International Journal of Foundations of Computer Science, 2022Connectivity is an important index to evaluate the reliability and fault tolerance of a graph. As a natural extension of the connectivity of graphs, the [Formula: see text]-component connectivity of a graph [Formula: see text], denoted by [Formula: see ...
Hong Zhang, Shuming Zhou, Qifan Zhang
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Structure and substructure connectivity of alternating group graphs
Applied Mathematics and Computation, 2021The connectivity is an important indicator to evaluate the robustness of a network. Many works have focused on connectivity-based reliability analysis for decades.
Xiaowang Li +3 more
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Neighbor Connectivity of the Alternating Group Graph
J. Interconnect. Networks, 2021Given a graph [Formula: see text], its neighbor connectivity is the least number of vertices whose deletion along with their neighbors results in a disconnected, complete, or empty graph.
Mohamad Abdallah, Chun-Nan Hung
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Conditional Diagnosability of Alternating Group Networks Under the PMC Model
IEEE/ACM Transactions on Networking, 2020Fault diagnosis of processors has played an essential role when evaluating the reliability of multiprocessor systems. In many novel multiprocessor systems, their diagnosability has been extensively explored. Conditional diagnosability is a useful measure
Nai-Wen Chang, S. Hsieh
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GCI-groups in the alternating groups
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu Yang +3 more
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A well-equalized 3-CIST partition of alternating group graphs
Information Processing Letters, 2019A set of k ( ⩾ 2 ) spanning trees in a graph is called completely independent spanning trees (CISTs for short) if they are pairwise edge-disjoint and internally vertex-disjoint.
Kung-Jui Pai, R. Chang, Jou-Ming Chang
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